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Finding the Fourth Proportional to 32,370.84, 48,562.25 and 12,648.20

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Solution

The fourth proportional to 32,370.84, 48,562.25 and 12,648.20 is: 18,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,370.84 : 48,562.25 = 12,648.20 : x
  2. Step 2: Convert to fraction form
    32,370.84/48,562.25 = 12,648.20/x
  3. Step 3: Cross multiply
    32,370.84x = 48,562.25 × 12,648.20
  4. Step 4: Simplify right side
    32,370.84x = 614,224,744.40
  5. Step 5: Solve for x
    x = 614,224,744.40/32,370.84
  6. Step 6: Final answer
    x = 18,974.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.